Aligned Resources

Alaska Performance Standards
Grade 6
Geometry
The student solves problems (including real-world situations) using perimeter, area, or volume.

Lessons  •  Activities  •  Show All

Lessons (12)

Introduces students to acute, obtuse, and right angles as well as relationships between angles formed by parallel lines crossed by a transversal.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Geometry

Related Topics: acute, adjacent, alternate exterior, alternate interior, angles, corresponding, geometry, intersection, lines, obtuse, rays, right angle, transversal, vertical

Comparing shapes with the same areas but different perimeters.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Geometry

Related Topics: area, comparing, geometry, integers, length, perimeter, polygon, rectangles, right angle, squares, width

Helps students understand there are a variety of ways to solve problems. This lesson also gives students practice in using various methods to find the areas of irregular shapes.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Geometry

Related Topics: area, geometry, length, rectangles, right angle, squares, width

Introduces students to length, perimeter and area.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Geometry

Related Topics: acute, addition, area, arithmetic, cartesian coordinate, coordinate plane, dimension, distance, geometry, length, multiplication, obtuse, perimeter, planes, polygon, pythagorean theorem, rectangles, subtraction, triangle, width

Introduces students to the concept of perimeter.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Geometry

Related Topics: addition, algorithm, arithmetic, geometry, length, perimeter, planes, polygon, rectangles, squares, width

Students learn how the Pythagorean Theorem works and how to apply it.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Geometry, Trigonometry

Related Topics: algebra, angles, area, arithmetic, cartesian coordinate, coordinate plane, distance, exponents, geometry, hypotenuse, length, perimeter, pythagorean theorem, right angle, slides, solving equations, squares, triangles, trigonometry

Introduces students to the concepts of surface area and volume.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Geometry

Related Topics: area, arithmetic, dimension, geometry, integers, length, polyhedra, prisms, surface area, volume

This lesson teaches students how to find the surface area of non-rectangular prisms.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Geometry

Related Topics: area, dimension, geometry, length, polyhedra, prisms, rectangles, slant height, surface area, triangle, volume

This lesson teaches students how to find the surface area of rectangular prisms.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Geometry

Related Topics: area, dimension, geometry, length, polyhedra, prisms, rectangles, surface area

Students learn about finding the area of a triangle.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Geometry

Related Topics: area, cartesian coordinate, coordinate plane, distance, geometry, length, right angle, squares, triangle, triangles, width

This lesson teaches students how to find the volume of non-rectangular prisms.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Geometry

Related Topics: area, depth, dimension, geometry, height, length, multiplication, polyhedra, prisms, rectangles, slant height, squares, surface area, triangle, volume, width

This lesson teaches students how to find the volume of rectangular prisms.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Geometry

Related Topics: area, depth, dimension, geometry, height, length, multiplication, polyhedra, prisms, rectangles, squares, triangle, volume, width

Activities (12)

Build your own polygon and transform it in the Cartesian coordinate system. Experiment with reflections across any line, revolving around any line (which yields a 3-D image), rotations about any point, and translations in any direction.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Calculus, Geometry, Graphs

Related Topics: angles, calculus, coordinate, coordinate plane, coordinate system, flips, geometry, glides, graph, polygon, polyhedra, reflections, rotation, symmetry, transformation, translation, transpose

Practice your knowledge of acute, obtuse, and alternate angles. Also, practice relationships between angles - vertical, adjacent, alternate, same-side, and corresponding. Angles is one of the Interactivate assessment explorers.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Geometry

Related Topics: acute, angles, assessment, geometry, lines, obtuse, parallel

Learn the relationship between perimeter and area. A shape will be automatically generated with the perimeter that you choose. Calculate the area of this shape. Area Explorer is one of the Interactivate assessment explorers.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Geometry

Related Topics: addition, area, arithmetic, assessment, comparing, coordinate plane, geometry, length, perimeter, polygon, rectangles, squares

Learn the relationship between perimeter and area. A shape will be automatically generated with the area that you choose. Calculate the perimeter of this shape. Perimeter Explorer is one of the Interactivate assessment explorers.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Geometry

Related Topics: area, arithmetic, assessment, comparing, coordinate plane, coordinate system, geometry, length, perimeter, polygon, rectangles, squares

Calculate the length of one side of an automatically generated right triangle by using the Pythagorean Theorem, and then check your answers. Pythagorean Explorer is one of the Interactivate assessment explorers.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Geometry, Trigonometry

Related Topics: algebra, angles, assessment, distance, exponents, geometry, length, pythagorean theorem, solving equations, squares, triangle, trigonometry

This activity operates in one of two modes: auto draw and create shape mode, allowing you to explore relationships between area and perimeter. Shape Builder is one of the Interactivate assessment explorers.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Geometry

Related Topics: area, assessment, comparing, geometry, perimeter

Learn the relationship between perimeter and area. A random shape will be automatically generated. Calculate the area and perimeter of this shape. Shape Explorer is one of the Interactivate assessment explorers.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Geometry

Related Topics: area, arithmetic, assessment, comparing, geometry, length, perimeter, polygon, rectangles, squares

Learn about how the Pythagorean Theorem works through investigating the standard geometric proof. Parameters: Sizes of the legs of the triangle.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Geometry, Trigonometry

Related Topics: algebra, angles, area, coordinate plane, distance, geometry, length, pythagorean theorem, slides, solving equations, squares, triangle, triangles, trigonometry

Manipulate dimensions of polyhedra, and watch how the surface area and volume change. Parameters: Type of polyhedron, length, width and height. Surface Area and Volume one of the Interactivate assessment explorers.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Geometry

Related Topics: assessment, dimension, geometry, length, polyhedra, prisms, surface area, volume

Explore the world of translations, reflections, and rotations in the Cartesian coordinate system by transforming squares, triangles and parallelograms. Parameters: Shape, x or y translation, x or y reflection, angle of rotation.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Geometry, Graphs

Related Topics: cartesian coordinate, coordinate plane, coordinate system, flips, geometry, glides, graph, hexagon, image, polygon, pre-image, reflections, rotation, symmetry, transformation, translation, transpose, triangle

Build your own polygon and transform it in the Cartesian coordinate system. Experiment with reflections across any line, rotations about any point, and translations in any direction. Parameters: Shape, x or y translation, x or y reflection, angle of rotation

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Geometry, Graphs

Related Topics: angles, cartesian coordinate, coordinate, coordinate plane, coordinate system, flips, geometry, glides, graph, image, linear equations, polygon, pre-image, reflections, rotation, symmetry, transformation, translation, transpose

Calculate the area of a triangle drawn on a grid. Learn about areas of triangles and about the Cartesian coordinate system. Triangle Explorer is one of the Interactivate assessment explorers.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Geometry

Related Topics: acute, area, assessment, cartesian coordinate, coordinate plane, distance, geometry, length, pythagorean theorem, triangle, triangles